Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8296/411,4877/1499
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8296,4877
Greatest Common Factor of Numerators i.e. GCF of 8296,4877 is 1 .
LCM of Denominators means LCM of 411,1499 as per the given fractions.
LCM of 411,1499 is 616089 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8296,4877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8296
List of positive integer factors of 8296 that divides 8296 without a remainder.
1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296
Factors of 4877
List of positive integer factors of 4877 that divides 4877 without a remainder.
1,4877
Greatest Common Factor
We found the factors 8296,4877 . The biggest common factor number is the GCF number.
So the greatest common factor 8296,4877 is 1.
Lets's calculate LCM of 411,1499
Given numbers has no common factors except 1. So, there LCM is their product i.e 616089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616089
Therefore, the GCF of Fractions 8296/411,4877/1499 is 1/616089
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 411,1499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,1499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,1499) x common factors =1 x 1 = 1
LCM(411,1499) = ( 411 × 1499 ) / 1
LCM(411,1499) = 616089 / 1
LCM(411,1499) = 616089
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 8296/411, 4877/1499?
Answer: GCF of Numerators as per given numbers 8296/411, 4877/1499 is
GCF of Numerators i.e. for 8296,4877 is 1
LCM of denominators i.e. for 411,1499 is 616089.
Thus, GCF of Fractions is 1/616089.Finally, GCF of Fractions for 8296/411, 4877/1499 is 1/616089.